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Finding the Fourth Proportional to 197,641.40, 296,505.30 and 97,849.40

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Solution

The fourth proportional to 197,641.40, 296,505.30 and 97,849.40 is: 146,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,641.40 : 296,505.30 = 97,849.40 : x
  2. Step 2: Convert to fraction form
    197,641.40/296,505.30 = 97,849.40/x
  3. Step 3: Cross multiply
    197,641.40x = 296,505.30 × 97,849.40
  4. Step 4: Simplify right side
    197,641.40x = 29,012,865,701.82
  5. Step 5: Solve for x
    x = 29,012,865,701.82/197,641.40
  6. Step 6: Final answer
    x = 146,795.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.